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An information retrieval technique using latent semantic structure was patented in 1988 (US Patent 4,839,853, now expired) by Scott Deerwester, Susan Dumais, George Furnas, Richard Harshman, Thomas Landauer, Karen Lochbaum and Lynn Streeter.

updating the partial singular value decomposition in latent semantic indexing-60updating the partial singular value decomposition in latent semantic indexing-64

We investigate the use of the PSVD updating methods proposed by Zha and Simon [H. An algorithm for iteratively computing the PSVD of a matrix using the document updating method is also presented. 21 (2) (1999) 522–536], provides a means of calculating the PSVD for matrices so large that the computation would be infeasible using traditional methods.

For instance, the following shows 16 sample portraits (centered around 0.0) from the Olivetti dataset.

On the right hand side are the first 16 singular vectors reshaped as portraits.

Animation of the topic detection process in a document-word matrix.

Every column corresponds to a document, every row to a word.

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